Given-the-function-f-x-where-f-x-x-2-1-for-x-x-D-f-2-x-3-1-for-y-f-x-a-Evaluate-f-2-if-f-a-2-a-n-1-find-the-value-of-a-hence-the-domain-of-f-x-

Question Number 38535 by Rio Mike last updated on 27/Jun/18

G i v e n t h e f u n c t i o n

f (x) w h e r e

f (x) = {\begin{cases} \int x^{2} + 1, f o r {x : x D (f) 2 \\ \int x^{3} - 1, f o r y = f^{'} (x) \end{cases}

a) E v a l u a t e f (2)

i f f (a) = 2 + a^{n - 1}

f i n d t h e v a l u e o f a

h e n c e t h e d o m a i n o f f (x) .